Abstract:
We discuss a derivation of multicomponent coupled KPZ equation from interacting particle systems called multi-species zero-range processes. This extends the results for the 2-color case (giving colors to color-blind particles) announced in my talk in 2018 at NYU Shanghai. We also recall analytic results for this singular SPDE. The talk is based on joint works with Cedric Bernardin and Sunder Sethuraman, AAP 2021 and with Masato Hoshino, JFA 2017.
Biography:
Tadahisa Funaki is a Professor Emeritus of the University of Tokyo and a Research Fellow at Yanqi Lake Beijing Institute of Mathematical Sciences and Applications. He has worked on interacting systems, hydrodynamic limit, stochastic partial differential equations and others. He was an invited sectional lecturer at ICM2022.
Seminar by the NYU-ECNU Institute of Mathematical Sciences at NYU Shanghai